University of Cambridge > > Isaac Newton Institute Seminar Series > Homology torsion growth of higher rank lattices

Homology torsion growth of higher rank lattices

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact INI IT.

NPCW04 - Approximation, deformation, quasification

The asymptotic behaviour of Betti numbers and more generally, representation multiplicities associated to lattices in Lie groups have been extensively studied. In this talk I will discuss the asymptotic behaviour of two related invariants: rank and homology torsion in higher rank lattices. In the nonuniform case this is well understood due to the validity of the Congruence subgroup property but the uniform (cocompact) case is wide open. With M. Abert and T. Gelander we resolved this for right angled lattices. A group is right angled if it can be generated by a sequence of elements of infinite order each of which commutes with the previous one. However not all lattices are right angled and I will survey the many open questions in this area.

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


© 2006-2021, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity